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10400114149 is a prime number
BaseRepresentation
bin10011010111110010…
…10010010111100101
3222211210122112112221
421223321102113211
5132244412123044
64435554312341
7515503340335
oct115371222745
928753575487
1010400114149
114457658767
122022b886b1
13c9986b9c9
147093570c5
1540d095484
hex26be525e5

10400114149 has 2 divisors, whose sum is σ = 10400114150. Its totient is φ = 10400114148.

The previous prime is 10400114111. The next prime is 10400114173. The reversal of 10400114149 is 94141100401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5962156225 + 4437957924 = 77215^2 + 66618^2 .

It is an emirp because it is prime and its reverse (94141100401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10400114149 - 213 = 10400105957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400114449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200057074 + 5200057075.

It is an arithmetic number, because the mean of its divisors is an integer number (5200057075).

Almost surely, 210400114149 is an apocalyptic number.

It is an amenable number.

10400114149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400114149 is an equidigital number, since it uses as much as digits as its factorization.

10400114149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 10400114149 in words is "ten billion, four hundred million, one hundred fourteen thousand, one hundred forty-nine".